Details

Time bar (total: 5.0s)

sample42.0ms

Algorithm
intervals
Results
21.0ms384×body80valid

simplify162.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (160.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.3b
(fma x (* 9.0 y) b)
4.6b
(/ (* t a) c)
10.1b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod fma-udef div-inv
Counts
4 → 66
Calls
4 calls:
0.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms
(fma x (* 9.0 y) b)
3.0ms
(/ (* t a) c)
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series311.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
31.0ms
(fma x (* 9.0 y) b)
19.0ms
(/ (* t a) c)
55.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify36.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0284424
11137356
25001355

prune311.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (- (/ b (* z c)) (* 4.0 (/ (* a t) c))))
4.6b
(/ (* a t) c)
4.8b
(/ b (* z c))
10.2b
(/ (* x y) (* z c))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
7×times-frac
6×prod-exp cbrt-unprod
5×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
1×fma-udef
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma 9.0 (/ (* x y) (* z c)) (- (/ b (* z c)) (* 4.0 (/ (* a t) c))))
4.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series293.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(fma 9.0 (/ (* x y) (* z c)) (- (/ b (* z c)) (* 4.0 (/ (* a t) c))))
19.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
32.0ms
(/ (* x y) (* z c))

simplify45.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0366480
11832391
25001391

prune299.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ (* a t) c)
4.8b
(/ b (* z c))
5.0b
(/ (* z c) y)
7.2b
(/ x (/ (* z c) y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
4 → 119
Calls
4 calls:
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
3.0ms
(/ (* z c) y)
5.0ms
(/ x (/ (* z c) y))

series94.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
19.0ms
(/ (* z c) y)
31.0ms
(/ x (/ (* z c) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0465594
12245520
25001520

prune477.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (* a t) (/ 1 c))
4.8b
(/ b (* z c))
5.0b
(/ (* z c) y)
7.2b
(/ x (/ (* z c) y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×add-exp-log
35×add-cbrt-cube
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×prod-exp
13×div-exp associate-*r*
11×cbrt-undiv associate-/r*
9×pow1 cbrt-unprod
8×div-inv
7×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg pow-prod-down clear-num
2×rec-exp 1-exp
1×associate-*r/ associate-*l* associate-/r/ un-div-inv *-commutative
Counts
4 → 136
Calls
4 calls:
12.0ms
(* (* a t) (/ 1 c))
7.0ms
(/ b (* z c))
3.0ms
(/ (* z c) y)
5.0ms
(/ x (/ (* z c) y))

series94.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* a t) (/ 1 c))
20.0ms
(/ b (* z c))
19.0ms
(/ (* z c) y)
31.0ms
(/ x (/ (* z c) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0596694
12985592
25001579

prune474.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes882.0ms

Accuracy

56.1% (4.8b remaining)

Error of 4.9b against oracle of 0.1b and baseline of 11.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07392
17392

end0.0ms

sample1.2s

Algorithm
intervals
Results
675.0ms12773×body80valid